⠀⠀⠀⠀⠀⡆⠀⠀⠀⢲⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⡞⠀⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⢣⡀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⢸⡓⠛⠳⠺⣇⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⢀⣷⣄⡀⠘⢦⣀⣠⡴⠶⠚⠛⠛⠃⠒⠒⠒⠚⠦⢀⣻⡉⠉⠉⠑⠒⠢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⢒⢲⡄⠀⠙⠺⣯⣡⢤⡚⠋⠉⠉⠐⠒⠉⠉⠓⠒⠢⠄⣀⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠣⣀⡷⠀⣠⣾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⢀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢠⣾⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢄⠀⠀⠀⠑⢆⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⡷⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀ ⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢀⣞⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠘⣄ ⠀⠀⡜⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠠⡸ ⠀⣰⠱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠘ ⢠⠇⡆⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢹⡀⠀⢹⡆⠀⠀⠀⠀⠀⢄⠀ ⡼⢰⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣿⡀⡄⠀⠀⠀⢠⣀⠀⡏⢣⡀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠸⡄⠀⠀⠀⠀⣇⠀⠀⣷⠀⠀⠀⠀⠀⠀⠙ ⠣⡇⠀⠀⠀⢠⡇⠀⠀⠀⢰⠂⠀⡏⣇⣷⠀⠀⠀⠈⢯⠉⢻⠒⠳⡄⠀⠀⠀⠀⢳⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⢸⠇⠀⠀⠀⢸⠀⢸⡧⢏⢹⡀⠀⠀⠀⠀⠑⠺⡇⠊⠘⢢⠀⠀⠀⠈⣧⡀⠀⠀⢸⠀⠀⠀⠀⢸⡅⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⢸⠇⠀⠀⠀⣾⠀⡿⠄⢼⠾⢧⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠑⢤⡀⠀⠸⡳⡀⠀⢸⠀⠀⠀⠀⢸⡄⠀⠈⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠸⡇⠀⠀⢀⡗⣰⠁⠀⠀⢣⡌⢢⡀⠀⠀⠀⠀⡇⠀⣰⣂⣀⣀⣭⣶⣤⣷⣿⣄⠘⡆⠀⠀⠀⢸⠆⠀⠀⣿⣤⣤⣤⢶⠾⠷ ⠀⠀⠰⣧⠀⠀⣇⠀⠀⣼⣷⠃⠀⠀⣀⣠⣿⡀⠑⢄⡀⠀⠀⡇⠀⠙⠿⣿⣿⡿⣿⣿⣿⡆⠈⢲⡇⠀⠀⠀⣼⠀⠀⠀⣿⣧⣐⣤⣮⣼⣷ ⢸⠀⠀⣿⡀⠀⢿⠀⣰⣿⣧⣶⣶⣿⣿⣯⠀⠁⠀⠀⠈⠢⢄⡇⠀⠀⢰⡾⠟⠷⠟⠛⣻⠃⠀⢰⠃⠀⠀⣰⡇⠀⠀⠀⣏⣿⡿⢟⢻⣿⣋ ⢸⡆⠀⢿⣧⠀⢸⣦⠟⠛⠛⣿⣏⣻⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠋⠁⠀⠀⡸⠀⢀⣴⡟⠀⠀⠀⠀⣿⡟⣡⡼⠋⣠⠟ ⠨⣇⠀⠘⣿⣦⠀⢿⡀⠀⠺⣟⣉⣉⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢰⡅⠔⠋⣿⠀⠀⠀⠀⠀⣿⡼⠋⠀⢸⣁⠀ ⡇⢹⡀⠀⢻⣿⣧⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠛⠛⢦⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⡿⠛⠢⣄⠀⠉⣿ ⣷⠀⢧⠀⠘⣿⡸⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⡪⠃⠀⠀⠈⡇⠀⠀⠀⠀⢀⣴⣯⠀⠀⠀⠀⣸⡇⠀⠀⠈⢣⢸⠇ ⣿⡄⠈⣧⡀⢸⡇⣹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡦⠴⠖⠮⠭⠒⠉⠀⠀⠀⢀⡼⠁⠀⠀⣠⣴⣿⡛⡧⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠼⣇ ⠙⢳⡀⢸⡙⠲⢷⣸⣿⡷⠦⣀⡀⠀⠀⠀⠀⠀⠀⠳⢄⡀⠀⠀⠀⣀⣀⡠⠔⠋⣀⣠⡴⠛⠉⠀⠀⠉⡧⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠠⡟ ⠀⠀⠁⠘⣇⠀⠀⠙⣿⡅⢠⡟⠉⠙⠓⠒⠦⠤⠤⠤⣤⡬⣭⣭⣭⠬⠴⡒⢚⡿⠛⠉⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠘